Write an explicit and a cursive equation for the geometric sequence a. 2, 10, 50, 250, 1250, . . .

6250, 31250, 156250, 781250

hope it may help you

Step-by-step explanation:

The given sequence is exponential with a first term of a1 = 2 and a common ratio of r = 10/2 = 5.

The explicit equation for an exponential sequence is ...

  a(n) = a(1)×r^(n -1)

So, for the given parameters, the explicit equation is ...

  a(n) = 2×5^(n -1)

__

The recursive equation for any series defines the next term as a function of previous terms. For a geometric sequence the next term is the previous term multiplied by the common ratio. For this sequence, the recursive definition is ...

  a(1) = 2

  a(n) = 5×a(n-1)

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft

answer: a and b

step-by-step explanation: